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Table 2 Results of the evaluation of averages and variances over k-mers of X and Z distributions on human chr 1. Large k-values approach the results Ek(|Z|) = 0.8 and σk(|Z|) = 0.6 expected from standard normal Z distributions

From: Inversion symmetry of DNA k-mer counts: validity and deviations

k Ek[X] Ek[|Z|] = Ek[X/σX] σk[|Z|]
1 .0004 4.56 3.7
2 .0006 3.26 2.4
3 .00075 1.98 1.58
4 .00125 1.34 1.12
5 .002 1.07 .86
6 .004 .93 .75
7 .0085 0.89 .72
8 .018 0.866 .72
9 .038 0.843 .69
10 0.083 0.825 .67